Abstract: Thermoacoustic oscillations occurs frequently in liquid helium vessels because of the huge temperature difference established between the cryogenic liquid and the room temperature environment.The existence of thermacoustic oscillation will definitely led to a considerably higher heat leak than the design value.In order to suppress or eliminate thermoacoustic oscillations in liquid helium vessels，its trigger conditions were analyzed by using Rott’s stability curves and suppression measures were also proposed.Taking a 110 L vessel for supercritical helium storage for example，the geometric dimensions of the tubes connecting the warm and cold ends were calculated to avoid thermoacoustic oscillation.The way of incorporating a damper to eliminate the oscillation was introduced when optimization of the geometric dimension of the tubes no longer helped.The damper’s geometric parameters were obtained.The analytical method and the results given in this paper may enrich the design knowledge of liquid helium vessels.